3933920 has 48 divisors (see below), whose sum is σ = 9707040. Its totient is φ = 1503744.

The previous prime is 3933907. The next prime is 3933929. The reversal of 3933920 is 293393.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3933929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3146 + ... + 4214.

It is an arithmetic number, because the mean of its divisors is an integer number (202230).

Almost surely, 2^3933920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3933920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4853520).

3933920 is an abundant number, since it is smaller than the sum of its proper divisors (5773120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3933920 is a wasteful number, since it uses less digits than its factorization.

3933920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 29.

The square root of 3933920 is about 1983.4112029531. The cubic root of 3933920 is about 157.8611181446.

The spelling of 3933920 in words is "three million, nine hundred thirty-three thousand, nine hundred twenty".